cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A174715 Triangle read by rows, Q*M as infinite lower triangular matrices. Q = A001935 shifted down four times by columns, M = A174712.

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%I A174715 #9 Feb 21 2024 08:19:36
%S A174715 1,1,2,3,4,1,6,1,9,2,12,3,16,4,2,22,6,2,29,9,4,38,12,6,50,16,8,3,64,
%T A174715 22,12,3,82,29,18,6
%N A174715 Triangle read by rows, Q*M as infinite lower triangular matrices. Q = A001935 shifted down four times by columns, M = A174712.
%C A174715 Row sums = A000041, the partition numbers.
%C A174715 Refer to comments in A174713.
%F A174715 As an irregular triangle generated from a product Q*M of infinite lower triangular matrices: Q = A001935 in every column (except column 0), shifted down four times from the previous column. M = A174712, the diagonalized variant of A000041 (the partition numbers as the right border, and the rest zeros.)
%e A174715 First few rows of the triangle =
%e A174715   1;
%e A174715   1;
%e A174715   2;
%e A174715   3;
%e A174715   4, 1;
%e A174715   6, 1;
%e A174715   9, 2;
%e A174715   12, 3;
%e A174715   16, 4, 2;
%e A174715   22, 6, 2;
%e A174715   29, 9, 4;
%e A174715   38, 12, 6;
%e A174715   50, 16, 8, 3;
%e A174715   64, 22, 12, 3;
%e A174715   82, 29, 18, 6;
%e A174715   ...
%Y A174715 Cf. A174712, A174712, A174713, A174714
%K A174715 nonn,tabf,uned
%O A174715 0,3
%A A174715 _Gary W. Adamson_, Mar 27 2010